The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 4 8 1 1 1 2 4 1 1 1 1 2 4 1 1 1 1 0 12 0 0 0 4 12 4 8 12 8 12 0 4 8 12 0 12 0 12 8 0 12 4 0 0 8 4 8 12 4 12 0 0 4 12 8 4 4 0 4 0 8 8 12 8 8 4 12 12 8 8 8 8 8 0 4 12 0 8 12 8 0 12 0 12 12 4 0 0 0 0 8 12 4 0 0 12 0 4 4 4 8 0 4 8 4 4 0 12 8 0 12 12 0 0 12 12 8 0 12 8 8 12 12 12 0 0 4 4 8 8 12 12 4 4 4 0 8 0 0 4 8 12 4 8 4 12 0 12 4 8 4 4 4 0 4 4 12 12 12 12 0 0 8 0 12 0 8 0 0 0 0 12 4 0 4 4 8 0 12 4 4 4 8 8 8 8 4 4 4 0 12 0 0 8 4 4 4 8 12 8 0 12 0 8 12 8 4 12 0 0 12 12 8 8 4 8 0 8 8 4 12 0 0 12 4 4 12 12 12 0 0 0 8 12 4 0 8 4 12 0 12 8 0 0 0 0 0 8 0 0 8 8 8 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 0 8 0 8 0 0 0 0 0 8 0 8 8 0 8 8 0 0 0 8 0 0 8 8 8 8 8 8 8 0 8 0 8 8 0 0 8 8 8 8 0 0 0 0 0 8 0 0 0 0 8 8 0 8 8 8 8 0 8 0 8 8 8 8 8 0 0 8 8 8 0 0 8 0 0 0 8 8 8 8 0 8 0 8 8 0 8 0 0 8 8 8 0 8 0 0 8 0 8 8 0 8 8 0 8 0 0 0 8 0 0 0 8 8 0 generates a code of length 75 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+192x^68+56x^70+48x^71+314x^72+512x^73+474x^74+928x^75+626x^76+512x^77+80x^78+48x^79+162x^80+20x^82+85x^84+8x^86+26x^88+2x^90+1x^96+1x^132 The gray image is a code over GF(2) with n=600, k=12 and d=272. This code was found by Heurico 1.16 in 32.1 seconds.